Geometry Books

Intrinsic Geometry of Surfaces

Intrinsic Geometry of Surfaces Intrinsic Geometry of Surfaces

This note covers the following topics: The Fundamental Form of a Surface, Normal Curvature, Gaussian Curvature and The Poincare Half-Plane.

Author(s): 17 Pages Similar Books

Euclidean Geometry by Rich Cochrane and Andrew McGettigan

This is a great mathematics book cover the following topics: Equilateral Triangle, Perpendicular Bisector, Angle Bisector, Angle Made by Lines, The Regular Hexagon, Addition and Subtraction of Lengths, Addition and Subtraction of Angles, Perpendicular Lines, Parallel Lines and Angles, Constructing Parallel Lines, Squares and Other Parallelograms, Division of a Line Segment into Several Parts, Thales' Theorem, Making Sense of Area, The Idea of a Tiling, Euclidean and Related Tilings, Islamic Tilings. 102 Pages

Topics in Geometry Dirac Geometry Lecture Notes

This is an introductory note in generalized geometry, with a special emphasis on Dirac geometry, as developed by Courant, Weinstein, and Severa, as well as generalized complex geometry, as introduced by Hitchin. Dirac geometry is based on the idea of unifying the geometry of a Poisson structure with that of a closed 2-form, whereas generalized complex geometry unifies complex and symplectic geometry. NA Pages

Teaching Geometry in Grade 8 and High School According to the Common Core Standards

This is the companion article to Teaching Geometry according to the Common Core Standards. Topics covered includes: Basic rigid motions and congruence, Dilation and similarity, The angle-angle criterion for similarity, The Pythagorean Theorem, The angle sum of a triangle, Volume formulas, basic rigid motions and assumptions, Congruence criteria for triangles, Typical theorems, Constructions with ruler and compass. 202 Pages

An Introduction to Geometry

This note explains the following topics: History of Greek Mathematics, Triangles, Quadrilateral, Concurrence, Collinearity, Circles, Coordinates, Inversive Geometry, Models of Hyperbolic Geometry, Basic Results of Hyperbolic Geometry. 140 Pages

Fundamentals of Geometry

This book explains the following topics: Classical Geometry, Absolute (Neutral) Geometry, Betweenness and Order, Congruence, Continuity, Measurement, and Coordinates, Elementary Euclidean Geometry, Elementary Hyperbolic Geometry, Elementary Projective Geometry. 256 Pages

Geometry and Topology

This book covers the following topics: Algebraic Nahm transform for parabolic Higgs bundles on P1, Computing HF by factoring mapping classes, topology of ending lamination space, Asymptotic behaviour and the Nahm transform of doubly periodic instantons with square integrable curvature, FI-modules over Noetherian rings, Hyperbolicity in Teichmuller space, A knot characterization and 1�connected nonnegatively curved 4�manifolds with circle symmetry. NA Pages

The Geometry of the Sphere

Tis book covers the following topics related to the Geometry of the Sphere: Basic information about spheres, Area on the sphere, The area of a spherical triangle, Girard's Theorem, Consequences of Girard's Theorem and a Proof of Euler's formula. NA Pages

Intrinsic Geometry of Surfaces

This note covers the following topics: The Fundamental Form of a Surface, Normal Curvature, Gaussian Curvature and The Poincare Half-Plane. 17 Pages

The Eightfold Way The Beauty of Klein's Quartic Curve(1999)

This book seeks to explore the rich tangle of properties and theories surrounding the object, Eightfold Way, as well as its esthetic aspects. NA Pages

Geometry, Topology, Geometric Modeling

This book is primarily an introduction to geometric concepts and tools needed for solving problems of a geometric nature with a computer. Topics covered includes: Logic and Computation, Geometric Modeling, Geometric Methods and Applications, Discrete Mathematics, Topology and Surfaces. NA Pages

Computational Geometry by MIT

This lecture note covers the following topics in surface modeling: b-splines, non-uniform rational b-splines, physically based deformable surfaces, sweeps and generalized cylinders, offsets, blending and filleting surfaces, Non-linear solvers and intersection problems, Solid modeling: constructive solid geometry, boundary representation, non-manifold and mixed-dimension boundary representation models, octrees, Robustness of geometric computations, Interval methods, Finite and boundary element discretization methods for continuum mechanics problems, Scientific visualization, Variational geometry, Tolerances and Inspection methods. NA Pages

Geometry and Group Theory

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Riemann surfaces, dynamics and geometry Course Notes

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Geometric Asymptotics

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